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4084094016 = 26328385427
BaseRepresentation
bin1111001101101110…
…0101010001000000
3101112121221110202100
43303123211101000
531331012002031
61513132150400
7203131140432
oct36333452100
911477843670
104084094016
111806401312
1295b908400
135011863a2
142aa5a4652
1518d836de6
hexf36e5440

4084094016 has 84 divisors (see below), whose sum is σ = 11847496752. Its totient is φ = 1344946944.

The previous prime is 4084094011. The next prime is 4084094017. The reversal of 4084094016 is 6104904804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4084094011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5095 + ... + 90521.

It is an arithmetic number, because the mean of its divisors is an integer number (141041628).

Almost surely, 24084094016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4084094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923748376).

4084094016 is an abundant number, since it is smaller than the sum of its proper divisors (7763402736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4084094016 is a wasteful number, since it uses less digits than its factorization.

4084094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85528 (or 85515 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4084094016 is about 63906.9168087461. The cubic root of 4084094016 is about 1598.4482371733.

The spelling of 4084094016 in words is "four billion, eighty-four million, ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2656 2988 3984 5312 5976 7968 11952 15936 23904 47808 85427 170854 256281 341708 512562 683416 768843 1025124 1366832 1537686 2050248 2733664 3075372 4100496 5467328 6150744 7090441 8200992 12301488 14180882 16401984 21271323 24602976 28361764 42542646 49205952 56723528 63813969 85085292 113447056 127627938 170170584 226894112 255255876 340341168 453788224 510511752 680682336 1021023504 1361364672 2042047008 4084094016